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Laplacian growth and diffusion limited aggregation: different universality classes.

作者信息

Barra F, Davidovitch B, Levermann A, Procaccia I

机构信息

Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.

出版信息

Phys Rev Lett. 2001 Sep 24;87(13):134501. doi: 10.1103/PhysRevLett.87.134501. Epub 2001 Sep 7.

DOI:10.1103/PhysRevLett.87.134501
PMID:11580593
Abstract

It had been conjectured that diffusion limited aggregates and Laplacian growth patterns (with small surface tension) are in the same universality class. Using iterated conformal maps we construct a one-parameter family of fractal growth patterns with a continuously varying fractal dimension. This family can be used to bound the dimension of Laplacian growth patterns from below. The bound value is higher than the dimension of diffusion limited aggregates, showing that the two problems belong to two different universality classes.

摘要

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